and Applied Analysis 3 of positive real numbers. By S 2 − X , we denote the space of all sequences defined over X, ‖·, ·‖ . Now we define the following sequence spaces: W ( M,Δ, p, ‖, ·, ‖ ⎧ ⎪⎨ ⎪⎩ x ∈ S 2 −X : ∀ε > 0 { n ∈ : ∞ ∑ k 1 ank [ M (∥ ∥ ∥ ∥ Δxk − L ρ , z ∥ ∥ ∥ ∥ )]pk ≥ ε } ∈ I for some ρ > 0, L ∈ X and each z ∈ X ⎫ ⎪⎬ ⎪⎭ , W 0 ( A,M,Δ, p, ‖, ·, ‖ ⎧ ⎪⎨ ⎪⎩ x ∈ S 2 −X : ∀ε > 0 { n ∈ : ∞ ∑...

A graph G is a couple G = (V, E) where V denotes the set of vertices of G and V the set of undirected edges. We will assume that the graphs considered are simple, that is they do not have multiple edge nor loop. The degree deg(v) of a vertex v of G is the number of edges attached to v. In the following except explicitly mentioned all the graphs considered are locally finite (no vertex of infini...

Lemma 2. For any r∗ ∈ (r, r̃) and ε > 0, there exist η̄ > 0 and ρ̄ < r/r∗ such that for any (η, ρ) < (η̄, ρ̄), conditions (3)-(2) below admit a solution (x0, x̂, θ0, θ00) that satisfies θ0 ≤ θ00, |x0 − x∗| < ε, ̄̄θ0 − θ∗ ̄̄ < ε, ̄̄θ00 − θ∗∗ ̄̄ < ε, and x̂ < −1/ε. 1−Ψ(x−θ σ ) = r − (r − ρr∗)[Ψ(x 0−θ0 σ )−Ψ(x 0−θ00 σ )] (1) 1−Ψ( x̂−θ0 σ ) = r + [r∗ρ+ r∗(1− ρ) exp( r ∗−r η )− r][Ψ( x̂−θ 0 σ )−Ψ( x̂−θ 00 σ )] (2) θ0...

Let G be a finite group. For each integral representation ρ of G we consider ρ−decomposable principally polarized abelian varieties; that is, principally polarized abelian varieties (X,H) with ρ(G)−action, of dimension equal to the degree of ρ, which admit a decomposition of the lattice for X into two G−invariant sublattices isotropic with respect to IH , with one of the sublattices ZG−isomorph...

OBJECTIVE Several composite risk score indices, the most common being the Stroke Index and the European System for Cardiac Operative Risk Evaluation (EuroSCORE), have been developed to predict perioperative events such as cerebrovascular accidents or death. The main aim of the present study was to compare the preoperative associations between the Stroke Index or the EuroSCORE with anxiety, depr...

Normal mode structure coefficients provide important constraints on the long-wavelength component of 3-D mantle density (ρ) structure, but inversions for independent models of vs, vp, and ρ using normal mode data alone are ill-posed even at long wavelengths. Ill-posed inversions typically are regularized by imposing a priori assumptions on the set of estimated models, but such regularization ca...

Pencegahan COVID-19 merupakan suatu tindakan yang bisa dilakukan dengan beberapa cara seperti mencuci tangan menggunakan sabun, menjaga jarak minimal 1 meter, dan masker bertujuan untuk melindungi diri dari penularan COVID-19. Berdasarkan laporan kasus terkonfirmasi terjadi di Provinsi Riau sebesar 24.932 kasus. Dimana jumlah Kabupaten Indragiri Hilir 671 pada masyarakat sangat penting diterapk...

1 Information characteristics of a quantum channel During the last couple of years an impressive progress has been achieved in the theory of transmission of classical information through quantum communication channels (see [8] for a comprehensive survey). The problem of sending quantum information is much less understood; we refer in particular to the papers [10], [2], [1], initiating the study...

The purpose of this meta-analysis was to provide clinical evidence regarding relationship between ADC and cellularity in different tumors based on large patient data.Medline library was screened for associations between ADC and cell count in different tumors up to September 2016. Only publications in English were extracted. The Preferred Reporting Items for Systematic Reviews and Meta-Analyses ...

Abstract Background Invasive coronary function testing (CFT), including both acetylcholine (ACH) spasm provocation and assessment of flow resistance, is recommended to assess vasomotor dysfunction (CVDys) in patients with angina non-obstructive artery disease (ANOCA). Objectives To determine repeat reliability invasive measurements CVDys. Methods In the EDIT-CMD trial, 73 underwent baseline fol...